Search a number
-
+
123380838 = 23273173089
BaseRepresentation
bin1110101101010…
…10010001100110
322121011101200200
413112222101212
5223041141323
620124251330
73025501620
oct726522146
9277141620
10123380838
1163710939
12353a0b46
131c73ba19
1412559c10
15ac72443
hex75aa466

123380838 has 48 divisors (see below), whose sum is σ = 306577440. Its totient is φ = 35129088.

The previous prime is 123380833. The next prime is 123380839. The reversal of 123380838 is 838083321.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123380833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38398 + ... + 41486.

It is an arithmetic number, because the mean of its divisors is an integer number (6387030).

Almost surely, 2123380838 is an apocalyptic number.

123380838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

123380838 is an abundant number, since it is smaller than the sum of its proper divisors (183196602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123380838 is a wasteful number, since it uses less digits than its factorization.

123380838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 123380838 is about 11107.6927397187. The cubic root of 123380838 is about 497.8317281193.

The spelling of 123380838 in words is "one hundred twenty-three million, three hundred eighty thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 317 634 951 1902 2219 2853 3089 4438 5706 6178 6657 9267 13314 18534 19971 21623 27801 39942 43246 55602 64869 129738 194607 389214 979213 1958426 2937639 5875278 6854491 8812917 13708982 17625834 20563473 41126946 61690419 123380838